The shear-driven Rayleigh problem for generalised Newtonian fluids

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Duffy, Brian R. and Pritchard, David and Wilson, Stephen K. (2014) The shear-driven Rayleigh problem for generalised Newtonian fluids. Journal of Non-Newtonian Fluid Mechanics, 206. pp. 11-17. ISSN 0377-0257 (https://doi.org/10.1016/j.jnnfm.2014.02.001)

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Abstract

We consider a variant of the classical ‘Rayleigh problem’ (‘Stokes’s first problem’) in which a semi-infinite region of initially quiescent fluid is mobilised by a shear stress applied suddenly to its boundary. We show that self-similar solutions for the fluid velocity are available for any generalised Newtonian fluid, regardless of its constitutive law. We demonstrate how these solutions may be used to provide insight into some generic questions about the behaviour of unsteady, non-Newtonian boundary layers, and in particular the effect of shear thinning or thickening on the thickness of a boundary layer.

ORCID iDs

Duffy, Brian R. ORCID logoORCID: https://orcid.org/0000-0003-2687-7938, Pritchard, David ORCID logoORCID: https://orcid.org/0000-0002-9235-7052 and Wilson, Stephen K. ORCID logoORCID: https://orcid.org/0000-0001-7841-9643;
  • Item type:Article
    ID code:47101
    Dates:
    Date
    Event
    30 April 2014
    Published
    11 February 2014
    Published Online
    2 February 2014
    Accepted
    Notes:Notice: This is the author's version of a work that was accepted for publication in Journal of Non-Newtonian Fluid Mechanics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Non-Newtonian Fluid Mechanics, [206, April, (2014)], http://dx.doi.org/10.1016/j.jnnfm.2014.02.001
    Subjects:Science > Mathematics > Probabilities. Mathematical statistics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:04 Mar 2014 12:05
    Last modified:02 Dec 2024 01:14
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/47101
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